9514 1404 393
Answer:
C. √((5-9)² +(1+6)²)
Step-by-step explanation:
The distance formula can be written ...
d = √((x1 -x2)² +(y1 -y2)²)
Filling in the given point coordinates, this becomes ...
d = √((5 -9)² +(1 -(-6))²)
Simplifying the signs, this becomes ...
d = √((5 -9)² +(1 +6)²) . . . . . matches choice C
Answer:
![8.99](https://tex.z-dn.net/?f=8.99)
Step-by-step explanation:
![\left|-46.09+51.64\right|+\left|18.08-21.52\right|](https://tex.z-dn.net/?f=%5Cleft%7C-46.09%2B51.64%5Cright%7C%2B%5Cleft%7C18.08-21.52%5Cright%7C)
![\left|-46.09+51.64\right|=5.55](https://tex.z-dn.net/?f=%5Cleft%7C-46.09%2B51.64%5Cright%7C%3D5.55)
![\left|18.08-21.52\right|=3.44](https://tex.z-dn.net/?f=%5Cleft%7C18.08-21.52%5Cright%7C%3D3.44)
![5.55+3.44](https://tex.z-dn.net/?f=5.55%2B3.44)
![8.99](https://tex.z-dn.net/?f=8.99)
Step-by-step explanation:
(f-g)(x)=
![x ^{2} - 3x + 9 - (3 {x}^{3} + 2 {x}^{2} - 4x - 9) = \\ x ^{2} - 3x + 9 - 3 {x}^{3} - 2 {x}^{2} + 4x + 9 = \\ - 3 {x}^{3} - x ^{2} + x + 18](https://tex.z-dn.net/?f=x%20%5E%7B2%7D%20%20-%203x%20%2B%209%20-%20%283%20%7Bx%7D%5E%7B3%7D%20%20%2B%202%20%7Bx%7D%5E%7B2%7D%20%20%20-%204x%20-%209%29%20%3D%20%20%5C%5C%20x%20%5E%7B2%7D%20%20-%203x%20%2B%209%20-%203%20%7Bx%7D%5E%7B3%7D%20%20-%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%20%2B%209%20%3D%20%5C%5C%20%20-%203%20%7Bx%7D%5E%7B3%7D%20%20-%20x%20%5E%7B2%7D%20%20%2B%20x%20%2B%2018)
Answer: 5
Step-by-step explanation:
Let’s assume that Laura has x$
Jose = 8+ x
Keith= 3x
So the total is equal to
118= x + 8 +x + 3x
118= 5x + 8
Subtract 8 from both sides
110= 5x
Divide 5 by both sides
22$= x which is what Laura has
Jose will have :8+22= 30$
Keith will have :3*22=66$